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Finding the Fourth Proportional to 184.86, 275.84 and 165.38

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Solution

The fourth proportional to 184.86, 275.84 and 165.38 is: 246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.86 : 275.84 = 165.38 : x
  2. Step 2: Convert to fraction form
    184.86/275.84 = 165.38/x
  3. Step 3: Cross multiply
    184.86x = 275.84 × 165.38
  4. Step 4: Simplify right side
    184.86x = 45,616.83
  5. Step 5: Solve for x
    x = 45,616.83/184.86
  6. Step 6: Final answer
    x = 246.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.